138 citations · 1.8k across the 93 of their papers we have counts for
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math.GT1998★ 2 cited
Cohomology rings and nilpotent quotients of real and complex arrangements
Daniel Matei, Alexander I. Suciu
For an arrangement with complement X and fundamental group G, we relate the truncated cohomology ring, H^{<=2}(X), to the second nilpotent quotient, G/G_3. We define invariants of…
math.DG1998
Volume of Riemannian manifolds, geometric inequalities, and homotopy theory
Mikhail G. Katz, Alexander I. Suciu
We outline the current state of knowledge regarding geometric inequalities of systolic type, and prove new results, including systolic freedom in dimension 4. Namely, every compact…
math.AG1998★ 138 cited
Characteristic varieties of arrangements
Daniel C. Cohen, Alexander I. Suciu
The k-th Fitting ideal of the Alexander invariant B of an arrangement A of n complex hyperplanes defines a characteristic subvariety, V_k(A), of the complex algebraic n-torus. In t…